Nonadjacent angles are angles that do not share a common vertex and do not overlap. They can be found when two lines intersect, creating multiple angles. While some angles may be adjacent, meaning they share a common side and vertex, nonadjacent angles stand apart from each other in the arrangement of intersecting lines.
For example, consider two intersecting lines. The angles formed at the intersection can be labeled as Angle 1, Angle 2, Angle 3, and Angle 4. Angle 1 and Angle 3 are nonadjacent because they do not share a vertex or a common side. Similarly, Angle 2 and Angle 4 are nonadjacent for the same reason. Understanding the concept of nonadjacent angles is crucial in geometry, particularly when solving problems that involve angle relationships.